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vivado [14]
3 years ago
15

What does w equal: w+3 over 3 = 3w-1?

Mathematics
1 answer:
dimulka [17.4K]3 years ago
8 0

Answer:

(w + 3) / 3 = 3w - 1

w + 3 = 9w - 3

6 = 8w

w = 6/8 = 3/4 = 0.75

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In the blank, type the greatest common factor of these two numbers.
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fgiga [73]

Answer:

The length of side of largest square is 15 inches

Step-by-step explanation:

The given suares are when joined in the way as shown in picture their sides form a right agnled triangle.

Area of square 1 and perimeter of square 2 will be used to calculate the sides of the triangle.

So,

<u>Area of square 1: 81 square inches</u>

s^2 = A\\s^2 = 81\\\sqrt{s^2} = \sqrt{81}\\s = 9

<u>Perimeter of square 2: 48 inches</u>

4*side = P\\4* side = 48\\side = \frac{48}{4}\\side = 12\ inches

We can see that a right angled triangle is formed.

Here

Base = 12 inches

Perpendicular = 9 inches

And the side of largest square will be hypotenuse.

Pythagoras theorem can be used to find the length.

(H)^2 = (P)^2+(B)^2\\H^2 = (9)^2+(12)^2\\H^2 = 81+144\\H^2 = 225\\\sqrt{H^2} = \sqrt{225}\\H = 15

Hence,

The length of side of largest square is 15 inches

5 0
3 years ago
What is the area of a circle with a diameter of 21 centimeters?
sattari [20]
Area of a circle: πr²

Data:
diameter:  21 cm
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4 0
3 years ago
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Answer:

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Step-by-step explanation:

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Anestetic [448]

Answer:

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b. -3 ≤ y < 3

c.  (0, 0)

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e. -3 < x ≤ - 1, and 1 ≤ x ≤ 3,

f. (-1, -1), and (3, -3)

Step-by-step explanation:

a. The domain of a function is the set of the possible independent variable values which is -3 < x ≤ 5

b. The range of a function is the set of the possible values of the dependent variable which is -3 ≤ y < 3

c. The y-intercept is the point the graph crosses the y-axis

The y-intercept in the graph is the point (0, 0)

d. f(x) ≥ 0  when x = -3, x = 1, x = 5

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(-1, -1), and (3, -3)

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